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General Concepts

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Algebraic Systems

Part of the book series: Die Grundlehren der mathematischen Wissenschaften ((GL,volume 192))

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Abstract

A collection of objects or concepts united by some common property is called a set. For example, one speaks of the set of symbols in a printed line, the set of natural numbers, the set of persons who are currently university students and so on. The objects comprising a set are its elements. Throughout the following, sets will be denoted as a rule by capital letters and elements by lower case Latin or Greek letters. The statement that an object a is an element of a set A is written briefly as aA. The notation aA or \(a\bar \in A\) signifies that a is not an element of A.

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© 1973 Springer-Verlag, Berlin · Heidelberg

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Mal’cev, A.I. (1973). General Concepts. In: Algebraic Systems. Die Grundlehren der mathematischen Wissenschaften, vol 192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65374-2_1

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  • DOI: https://doi.org/10.1007/978-3-642-65374-2_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-65376-6

  • Online ISBN: 978-3-642-65374-2

  • eBook Packages: Springer Book Archive

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